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Prove that ,The bisectors of base angl...

Prove that ,The bisectors of base angles of a triangle cannot enclose a right angle in any case.

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To prove that the bisectors of the base angles of a triangle cannot enclose a right angle, we will follow these steps: ### Step 1: Understand the Triangle and its Angles Let triangle ABC be an isosceles triangle where AB = AC. Let the base angles be ∠ABC = ∠ACB = θ and the vertex angle ∠A = 180° - 2θ. **Hint:** Remember that the sum of angles in a triangle is always 180°. ### Step 2: Identify the Angle Bisectors ...
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RD SHARMA-LINES AND ANGLES -All Questions
  1. In Fig. 6.16, if x+y=w+z, then prove that AOB is a line.

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  2. It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figu...

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  3. Prove that ,The bisectors of base angles of a triangle cannot enclos...

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  4. Name the pairs of adjacent angles in the figures given below :

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  5. In figure, DeltaO D C DeltaO B A ,/B O C=125^oand /C D O=70^o. Find...

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  6. O A\ =\ O Ba n d\ O D\ =\ O C. Show that (i) DeltaA O D~=DeltaB O C a...

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  7. A B C D is a cyclic quadrilateral in which: B C A D ,\ /A D C=110^0...

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  8. How many pairs of adjacent angles are formed when two lines intersec...

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  9. How many pairs of adjacent angles, in all, can you name in Figure.

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  10. In the figure ,find the value of x.

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  11. In figure, O is the centre of the circle angleBCO=30^(@) . Find X an...

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  12. In Figure, ray O S stand on a line P O Qdot Ray O R and ray O T are an...

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  13. In Figure, A C B is a line such that /D C A=5x\ a n d\ /D C B=4xdot Fi...

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  14. Given /P O R=3x a n d /Q O R=2x+10 , find the value of x for which P O...

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  15. In Figure, a is a greater than b by one third of a right-angle. Find...

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  16. What value of y would make A O B a line in Figure, if /A O C=4y\ a n d...

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  17. If Figure, /A O F\ a n d\ /F O G form a linear pair. /E O B=\ /F O C=9...

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  18. In Figure, O P ,\ O Q ,\ O R\ a n d\ O S are four rays. Prove that /...

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  19. In Figure, ray O S stand on a line P O Qdot Ray O R and ray O T are an...

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  20. Lines P Q and R S intersect each other at point Odot If /P O R:/R O...

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